First integrals of autonomous systems of differential equations and the Prelle-Singer procedure

Yiu Kwong MAN

doi:10.1088/0305-4470/27/10/005

First integrals of autonomous systems of differential equations and the Prelle-Singer procedure

Yiu Kwong MAN

Department of Mathematics and Information Technology (MIT)

Research output: Contribution to journal › Articles › peer-review

15 Citations (Scopus)

Abstract

The Prelle-Singer procedure for determining elementary first integrals of two-dimensional autonomous systems of ordinary differential equations is introduced and how it can be generalized to higher dimensions is discussed. The application of this procedure in several dynamical systems is reported. Copyright © 1994 IOP Publishing.

Original language	English
Pages (from-to)	L329-L332
Journal	Journal of Physics A: Mathematical and General
Volume	27
Issue number	10
DOIs	https://doi.org/10.1088/0305-4470/27/10/005
Publication status	Published - 1994

Citation

Man, Y. K. (1994). First integrals of autonomous systems of differential equations and the Prelle-Singer procedure. Journal of Physics A: Mathematical and General, 27(10), L329-L332. doi: 10.1088/0305-4470/27/10/005

Access to Document

10.1088/0305-4470/27/10/005

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